Question 1012777
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Show algebraically that this triangle is a right triangle. The triangle has the vertices P(-4,-3) Q(2,5) R(4,1) 
Find the midpoint of the hypotenuse.
Show that this midpoint is equidistant from each of the vertices
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By the way, in an right-angled triangle, the midpoint of the hypotenuse is equidistant from each of the vertices.


See the lesson <A HREF=http://www.algebra.com/algebra/homework/word/geometry/Median-in-a-right-triangle-drawn-to-its-hypotenuse.lesson>Median drawn to the hypotenuse of a right triangle</A> in this site.


It is true for any right-angled triangle.